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Finding the Fourth Proportional to 560.21, 840.32 and 194.74

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Solution

The fourth proportional to 560.21, 840.32 and 194.74 is: 292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.21 : 840.32 = 194.74 : x
  2. Step 2: Convert to fraction form
    560.21/840.32 = 194.74/x
  3. Step 3: Cross multiply
    560.21x = 840.32 × 194.74
  4. Step 4: Simplify right side
    560.21x = 163,644.72
  5. Step 5: Solve for x
    x = 163,644.72/560.21
  6. Step 6: Final answer
    x = 292.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.